Stability of Spatial Equilibrium.

Asymptotic stability of equilibrium is often difficult to know when the number of variables exceeds four, since all eigenvalues of the Jacobian matrix are not analytically solvable. However, we obtain stability conditions for a general class of migration dynamics without computing eigenvalues. We sh...

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Detalles Bibliográficos
Publicado en:Journal of Regional Science Vol. 44; no. 4; pp. 641 - 661
Autores principales: Tabuchi, Takatoshi, Zeng, Dao-Zhi
Formato: Artículo
Publicado: Wiley-Blackwell November 2004
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Acceso en línea:Ver este registro en EBSCOhost
Descripción
Sumario:Asymptotic stability of equilibrium is often difficult to know when the number of variables exceeds four, since all eigenvalues of the Jacobian matrix are not analytically solvable. However, we obtain stability conditions for a general class of migration dynamics without computing eigenvalues. We show that a spatial equilibrium is stable in the presence of strong congestion diseconomies, but unstable in the presence of strong agglomeration economies. We also show existence of a stable equilibrium in the case of negligible interregional externalities, which is applicable to club goods, local public goods, and new economic geography. Reprinted by permission of the publisher.